English

Higher order corrections to the hydrogen spectrum from the Standard-Model Extension

High Energy Physics - Phenomenology 2015-06-12 v1

Abstract

We have studied the effects of the Standard-Model Extension (SME) on hydrogen as a realization of new physics effects that incorporate Lorentz and CPT violation. Specifically, we calculated the SME-induced energy level shifts at order α2\alpha^2 times the SME parameters. We obtained contributions at this order both from the non-relativistic effective Hamiltonian for motion of a spin-1/2 particle in the presence of SME interactions and also from SME corrections to the propagator for exchange photons. We applied our result to the 2S1S2S-1S transition in hydrogen, which has been measured with extremely high precision. The results obtained in this work give the leading SME corrections for this transition.

Keywords

Cite

@article{arxiv.1211.3018,
  title  = {Higher order corrections to the hydrogen spectrum from the Standard-Model Extension},
  author = {Theodore J. Yoder and Gregory S. Adkins},
  journal= {arXiv preprint arXiv:1211.3018},
  year   = {2015}
}

Comments

13 pages, 1 figure